HP-41 and 42s: AIP with or without sign?

[Ángel Martin]

Thanks for the pointers Valentín, I've cheeked the references for leverage but before I found a solid baseline I figured out a better way to do it on my own... (actually it was mentioned in-passing in the articles, albeit it wasn't used in the solutions).

Right now I have a 50-step short FOCAL program that calculates determinants of 2x2 and a 3x3 Complex Matrices. Working on the 4x4 case as we speak... The program uses the 41Z as well, so the "Math Trinity" working in unison for the task.

It uses the expressions based on the matrix Trace and integer powers; granted it's a round-about way to skin this cat bu the code efficiency and speed are unbeatable.

Unfortunately there's no expression for the general "n" case, I wonder if such a formula would exist at all or if it's just a pipe dream.

https://en.wikipedia.org/wiki/Determinant

Saludos,
Á.